This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, ...

t-distributed Stochastic Neighbour Embedding (t-SNE) is a cornerstone for visualizing high-dimensional biological data, where each high-dimensional data point is represented as a point in a ...

Executive function—top-down processes by which the human mind controls behavior, regulating thoughts and actions—have long been studied using a standard set of tools, with these assessments being ...

In the wake of President Donald Trump's executive order on gain-of-function research, questions linger on exactly how the order will be implemented and about its potential impacts on the study of ...

It’s a staple of popular fiction, but two mathematicians in Australia now say that an age-old maxim is nothing more than bananas. The Infinite Monkey Theorem hypothesizes that, given a typewriter and ...

ABSTRACT: In this paper, the dynamical behaviors of a modified Leslie-Gower predator-prey model incorporating fear effect and prey refuge are investigated. We delve into the construction of the model ...

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to traditional Multi-Layer Perceptrons (MLPs). Inspired by the Kolmogorov-Arnold representation theorem, these networks ...

Abstract: In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of ...

libhttp/url.c:258:26: error: call to undeclared library function 'strdup' with type 'char *(const char *)'; ISO C99 and later do not support implicit function ...